منابع مشابه
Infinitely many solutions for a bi-nonlocal equation with sign-changing weight functions
In this paper, we investigate the existence of infinitely many solutions for a bi-nonlocal equation with sign-changing weight functions. We use some natural constraints and the Ljusternik-Schnirelman critical point theory on C1-manifolds, to prove our main results.
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In this paper, we study the multiplicity of positive solutions for the Laplacian systems with sign-changing weight functions. Using the decomposition of the Nehari manifold, we prove that an elliptic system has at least two positive solutions.
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Let Ω be a bounded domain in Rn, n ≥ 3 with smooth boundary ∂Ω and a small hole. We give the first example of sign-changing bubbling solutions to the nonlinear elliptic problem −∆u = |u| n+2 n−2+ε−1u in Ω, u = 0 on ∂Ω, where ε is a small positive parameter. The basic cell in the construction is the signchanging nodal solution to the critical Yamabe problem −∆w = |w| 4 n−2w, w ∈ D(R) which has l...
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This article concerns the existence of sign-changing solutions to nonlocal Kirchhoff type problems of the form
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Let (M, g) be a smooth compact Riemannian manifold of dimension n ≥ 3. We are concerned with the following elliptic problem ∆gu+ hu = |u| 4 n−2−εu, in M, where ∆g = −divg(∇) is the Laplace-Beltrami operator on M , h is a C1 function on M , ε is a small real parameter such that ε goes to 0.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2006
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2005.09.004